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- Decreasing_carry abstract "Decreasing carry is the numeral system whose base numbers decrease from right to left, used in combinatorial mathematics. Normally, the leftmost base number is 2. In elementary arithmetic a carry is a digit that is transferred from one column of digits to another column of more significant digits during a calculation algorithm. Under normal conditions, one uses a constant-base numeral system. In "This smart phone costs me 200 dollars", the 200 is three decimal digits. And in computer, 1001 consists of four binary numbers, whose base number is still constant.While decreasing carry means the base numbers are different in different positions. The base numbersdecrease from right to left by the step of 1. If the length of the number is N, then the rightmost number's base number is N + 1, and the left neighbor is N, and...the leftmost base number is 2. Thus, when the addition operation conducted, if the value(v) of the right most column is over N + 1, than, v = v − |v/(N + 1)|·(N + 1), and the carry number is |v/(N + 1)|, which is transferred to left column. This process is continued until the end of the operation. Take (1134)↓ as an example. The base numbers from right to left are 5, 4, 3, 2, which means the biggest number possible in the rightmost position is 4, and the biggest possible in the second right is 3, then 2, then 1. Thus, if (1134)↓ plus 1, the final result is (1200)↓.".
- Decreasing_carry wikiPageID "41500074".
- Decreasing_carry wikiPageRevisionID "602827001".
- Decreasing_carry subject Category:Combinatorics.
- Decreasing_carry comment "Decreasing carry is the numeral system whose base numbers decrease from right to left, used in combinatorial mathematics. Normally, the leftmost base number is 2. In elementary arithmetic a carry is a digit that is transferred from one column of digits to another column of more significant digits during a calculation algorithm. Under normal conditions, one uses a constant-base numeral system. In "This smart phone costs me 200 dollars", the 200 is three decimal digits.".
- Decreasing_carry label "Decreasing carry".
- Decreasing_carry sameAs m.0zwkf9d.
- Decreasing_carry sameAs Q16954954.
- Decreasing_carry sameAs Q16954954.
- Decreasing_carry wasDerivedFrom Decreasing_carry?oldid=602827001.
- Decreasing_carry isPrimaryTopicOf Decreasing_carry.